12128202312 has 128 divisors (see below), whose sum is σ = 32191119360. Its totient is φ = 3800079360.

The previous prime is 12128202301. The next prime is 12128202337. The reversal of 12128202312 is 21320282121.

12128202312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7920987 + ... + 7922517.

It is an arithmetic number, because the mean of its divisors is an integer number (251493120).

Almost surely, 2^12128202312 is an apocalyptic number.

12128202312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12128202312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16095559680).

12128202312 is an abundant number, since it is smaller than the sum of its proper divisors (20062917048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12128202312 is a wasteful number, since it uses less digits than its factorization.

12128202312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12128202312 its reverse (21320282121), we get a palindrome (33448484433).

The spelling of 12128202312 in words is "twelve billion, one hundred twenty-eight million, two hundred two thousand, three hundred twelve".